1. 15х + 18y = 3(5x + 6y).
2. 3хy – 5y = y(3x – 5).
3. a⁴ + a³ = a³(a + 1).
4. 2y⁵ – 4y³ = 2y³(y² – 2).
5. 5ab + 10a² = 5a(b + 2a).
6. ax² + 3ax = ax(x + 3).
7. xy³ + 5x²y² – 3x²y = xy(y² + 5xy – 3x).
8. 5(2 – a) + 3a(2 – a) = (2 – a)(5 + 3a).
9. x(x – y) – 3(y – x) = x(x – y) + 3(x – y) = (x – y)(x + 3).
10. 10m⁵n² + 15nm⁷ = 5m⁵n(2n + 3m²).
11. 8x⁶y² + 24y²x³ – 16x⁵y⁵ = 8x³y²(x³ + 3 - 2x²y³).
12. (x – 3)(3x + 1) + (3 – x)(3 + x) = (x – 3)(3x + 1) – (x – 3)(3 + x) =
= (x – 3)(3x + 1 – 3 – x) = (x – 3)(2x – 2) = 2(x – 3)(x – 1).
13. a³(a + 6)² – 3a⁴(6 + a) = a³(a + 6)² – 3a⁴(a + 6) = a³(a + 6)(a + 6 – 3a) =
= a³(a + 6)(–2a + 6) = –2a³(a + 6)(a – 3).
11x^2-8x-3/10x^2-3x-7
11x^2-8x-3
D=64+132=196=14
x1=1
x2=-3/11
10x^2-3x-7
D=9+280=289=17
x1=1
x2=-7/10
11x^2-8x-3=(11x+3)(x-1)
10x^2-3x-7=(10x+7)(x-1)
(11x+3)(x-1)/(10x+7)(x-1)=(11x+3)/(10x+7)